Question

Сравните: 1)sin2,5 ? sin5 2) cos2 ? cos5,5 3) cos4 ? sin7 4) sin1 ? cos1 5) 2tga ? tg^2a

Answer 1

1) sin2,5 < sin5

2) cos2 > cos5,5

3) cos4 > sin7

4) sin1 < cos1

5) 2tga < tg^2a

Answer 2

1. sin(2.5) vs sin(5): To compare sin(2.5) and sin(5), we can evaluate their values using a scientific calculator or mathematical software:

sin(2.5) ≈ 0.5981 sin(5) ≈ -0.9589

Therefore, sin(2.5) is approximately 0.5981, while sin(5) is approximately -0.9589.

2. cos(2) vs cos(5.5): Using the same approach as above:

cos(2) ≈ -0.4161 cos(5.5) ≈ 0.9986

Therefore, cos(2) is approximately -0.4161, while cos(5.5) is approximately 0.9986.

3. cos(4) vs sin(7): Again, evaluating the values:

cos(4) ≈ -0.6536 sin(7) ≈ 0.6569

Therefore, cos(4) is approximately -0.6536, while sin(7) is approximately 0.6569.

4. sin(1) vs cos(1): Evaluating the values:

sin(1) ≈ 0.8415 cos(1) ≈ 0.5403

Therefore, sin(1) is approximately 0.8415, while cos(1) is approximately 0.5403.

5. 2tan(a) vs tan^2(a): It seems there might be a formatting error in the fifth comparison you provided. If you meant to ask about the comparison between 2tan(a) and tan^2(a), we can discuss it accordingly.

2tan(a) is equal to 2 times the tangent of angle a. tan^2(a) is the square of the tangent of angle a.

These two expressions are not equivalent. The square of the tangent of an angle is different from two times the tangent of that same angle.

Let me know if you have any further questions or if there's anything else I can assist you with!